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How many runs can you score by just aiming for four balls?

Ryohei Miyadera
Organization: Kwansei Gakuin High School
Department: Mathematics Department
Takuji Anekawa
Tetsuro Shiba
Hiroshi Matsui
Toshiyuki Yamauchi
Revision date


Team A is going to play against Team B. The only pitcher of Team B can throw about a 100 mile an hour fastball, but he is not good at?controlling it. Therefore the members of Team A are going to try to get four balls without hitting a ball. As a result of this strategy each batsman will get either four balls or a strike out. We are going to calculate the probability of Team A getting a strike out, scoring a run in an inning, scoring several runs in a game.
The problem looks very simple, but calculation is not easy.

*Mathematics > Discrete Mathematics > Combinatorics

probability, a strike out, four ball
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baseball score miyadera.nb (63.5 KB) - Mathematica Notebook [for Mathematica 5.2]